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Finding the Fourth Proportional to 16,716, 25,074 and 5,772

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Solution

The fourth proportional to 16,716, 25,074 and 5,772 is: 8,658

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716 : 25,074 = 5,772 : x
  2. Step 2: Convert to fraction form
    16,716/25,074 = 5,772/x
  3. Step 3: Cross multiply
    16,716x = 25,074 × 5,772
  4. Step 4: Simplify right side
    16,716x = 144,727,128
  5. Step 5: Solve for x
    x = 144,727,128/16,716
  6. Step 6: Final answer
    x = 8,658

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.